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75399090 = 235131031877
BaseRepresentation
bin1000111111001…
…11111110110010
312020212200002220
410133213332302
5123300232330
611252021510
71603611264
oct437477662
9166780086
1075399090
11396194a8
1221301896
131280c160
14a029b34
156945710
hex47e7fb2

75399090 has 64 divisors (see below), whose sum is σ = 196874496. Its totient is φ = 18369792.

The previous prime is 75399067. The next prime is 75399113. The reversal of 75399090 is 9099357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75399067) and next prime (75399113).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39232 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (3076164).

Almost surely, 275399090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75399090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98437248).

75399090 is an abundant number, since it is smaller than the sum of its proper divisors (121475406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75399090 is a wasteful number, since it uses less digits than its factorization.

75399090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 76545, while the sum is 42.

The square root of 75399090 is about 8683.2649389501. The cubic root of 75399090 is about 422.4630221013.

The spelling of 75399090 in words is "seventy-five million, three hundred ninety-nine thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 103 130 195 206 309 390 515 618 1030 1339 1545 1877 2678 3090 3754 4017 5631 6695 8034 9385 11262 13390 18770 20085 24401 28155 40170 48802 56310 73203 122005 146406 193331 244010 366015 386662 579993 732030 966655 1159986 1933310 2513303 2899965 5026606 5799930 7539909 12566515 15079818 25133030 37699545 75399090